Approximation Error In Exercises 39-44, each function f(x) changes value when x changes from xo to xo + dx. Find the change Δf = f(xo + dx) - f(xo); b: the value of the estimate Δf = f'(xo) dx; and the approximation error |Δf Δf|.
39. f(x) = x + 25, x = [0, 1], dx = 0.1
40. f(x) = 2x + 4, x = [0, 1], dx = 0.
41. f(x) = 6x, x = [0, 1], dx = 0.